Slope Of A Line
Chapter Name : Straight Lines |
Sub Topic Code : 104_11_10_02_01 |
Topic Name : Slope Of A Line |
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Sub Topic Name : Slope Of A Line |
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Introduction
A line in coordinate plane forms two angles with the x-axis which are supplementary. The angle made with the positive direction of x-axis and measured anti clockwise is called inclination of the line.
Pre-Requisites:
Idea about coordinate geometry, marking a point on the X-Y plane.
Real Life Question:
Anna’s friend Emma is standing 2km to the east of her. Another friend of her Sara is standing 2km to the north of Emma. What is the inclination of the line joining Sara and Anna to the line joining Anna and Emma.
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Slope of a line | If a line l makes an angle ? measured anti clockwise to the x-axis, then tan ? is called the slope or gradient of the line l. It is represented by m. Mathematically, m = tan ? |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Graphs | Plot lines of the graph and measure their inclination to the x-axis. |
Real life uses :
Lines and their inclination have extensive use in every aspect of engineering. They are widely used by the architects in the construction of bridges and buildings.
Places to visit :
Roads and Railway tracks. See how slope is used in their making : http://en.wikipedia.org/wiki/Slope#Slope_of_a_road_or_railway
Practical examples around us
| Examples | Explainations |
|---|---|
| Banking of roads | Roads are inclined at the curves to provide centripetal force. |
What you learn in Theory:
What is the slope of a line and how it is related to the angle of inclination?
What you learn in Practice:
How to find the slope of a line?